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SageMath
sage: E = EllipticCurve("z1")
sage: E.isogeny_class()
Elliptic curves in class 78400.z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 78400.z1 | 78400dl1 | [0, 0, 0, 156800, -72716000] | [] | 2211840 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.z do not have complex multiplication.Modular form 78400.2.a.z
sage: E.q_eigenform(10)